SOLUTION: prove that: 1. equal chords of a circle subtend equal angles at the centre.

Algebra.Com
Question 280945: prove that:
1. equal chords of a circle subtend equal angles at the centre.

Answer by vleith(2983)   (Show Source): You can put this solution on YOUR website!
Use the properties of congruent triangles to prove this.
Draw in radii from the center to each of the endpoints of one chord. This will make an isosceles triangle.
Now do the same to the second chord. Creating a second isosceles triangle.
Using the Side, side, side rule, you can prove the two triangles are congruent.
Knowing they are congruent allows you to prove the similar angles within the two triangles are equal.

RELATED QUESTIONS

1. A circle has radius 7cm. An arc of the circle has length 10cm. What angle, in degrees... (answered by richwmiller)
Two equal chords AB and XY of a circle intersect at E, a point inside the circle. Use... (answered by ikleyn)
an arc of a circle of radius 7cm subtend on angle of 120 degree at the centre, find its... (answered by Seutip)
If 2 chords of a circle intersect at a point outside the circle, then prove that the... (answered by psbhowmick)
An arc of a circle radius 7cm is 14cm long. What angle does the arc subtend at the centre (answered by Alan3354)
Prove the following theorems: 1. Two chords of a congruent circles are congruent if... (answered by ikleyn)
An arc of a circle of radius 7cm is 14cm long.what does d arc subtend at d centre of d... (answered by josgarithmetic,Alan3354)
in a circle of radius 20 cm the distance between a pair of equal and parallel chords is... (answered by pedjajov)
two parallel chords lie on opposite sides of the centre of a circle of radius 13cm. their (answered by Boreal)